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Finding the Fourth Proportional to 7,123.08, 9,829.86 and 4,139.40

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Solution

The fourth proportional to 7,123.08, 9,829.86 and 4,139.40 is: 5,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.08 : 9,829.86 = 4,139.40 : x
  2. Step 2: Convert to fraction form
    7,123.08/9,829.86 = 4,139.40/x
  3. Step 3: Cross multiply
    7,123.08x = 9,829.86 × 4,139.40
  4. Step 4: Simplify right side
    7,123.08x = 40,689,722.48
  5. Step 5: Solve for x
    x = 40,689,722.48/7,123.08
  6. Step 6: Final answer
    x = 5,712.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.